1. Reference problem#

1.1. Geometry#

_images/1000096A00001CF000000EE23159C12A02E3E90E.svg

Length: \(L=\mathrm{20mm}\)

Width: \(b=\mathrm{2mm}\)

Thickness: \(h=\mathrm{4mm}\)

1.2. Material properties#

Conductivity \(\lambda =1000W/\mathrm{mm}/°C\)

1.3. Boundary conditions and loads#

  • Zero temperature at point \(O\), throughout the thickness.

  • On the upper (ABEF) + and lower (ABEF) faces —:

exchange coefficient: \(h=10W/{\mathrm{mm}}^{2}/°C\)

Outside temperature: \(\mathrm{Text}=50°C\)

  • On the upper side \({(\mathrm{BCDE})}^{\text{+}}\) and the lower side \({(\mathrm{BCDE})}^{\text{–}}\):

exchange coefficient: \(h=10W/{\mathrm{mm}}^{2}/°C\)

Outside temperature: \({T}_{\mathrm{ext}}=–50°C\)